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The specific heat of a substance i.e at constant pressure is defined as the rate of change of _ with respect to __

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Important Questions on Heat and Thermodynamics

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Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is

\frac{α^{2}}{4} R J mol K^{- 1}

; then the value of

α

will be _____ . (Assume that the given diatomic gas has no vibrational mode.)

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

For a diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between various thermodynamic quantities?

EASY

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

For a gas of molecular weight

M

specific heat capacity at constant pressure is

(r = \frac{c_{p}}{c_{v}})

EASY

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

Graph of specific heat at constant volume for a monatomic gas is

EASY

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

4.0 g

of a gas occupies

22.4

liters at NTP. The specific heat capacity of the gas at constant volume is

5.0 J K^{- 1} m o l^{- 1}

. If the speed of sound in this gas at NTP is

952 m s^{- 1}

, then the heat capacity at constant pressure is

(Take gas constant

R = 8.3 J K^{- 1} m o l^{- 1}

)

EASY

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :-

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

An ideal gas undergoes a four step cycle as shown in the $P - V$ diagram below. During this cycle, heat is absorbed by the gas in:

Question Image

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

The molar specific heats of an ideal gas at constant pressure and volume are denoted by

C_{P}

and

C_{V}

, respectively. If

γ = \frac{C_{P}}{C_{V}}

and

R

is the universal gas constant, the

C_{V}

is equal to

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

What will be the molar specific heat at constant volume of an ideal gas consisting of rigid diatomic molecules?

HARD

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

One gram mole of an ideal gas

A

with the ratio of constant pressure and constant volume specific heats

γ_{A} = \frac{5}{3}

is mixed with

n

gram moles of another ideal gas

B

with

γ_{B} = \frac{7}{5}

. If the

γ

for the mixture is

\frac{19}{13}

, then what will be the value of

n

HARD

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

The specific heats,

C_{p}

and

C_{v}

of a gas of diatomic molecules,

A,

are given (in units of

J m o l^{- 1} K^{- 1}

) by

29

and

22,

respectively. Another gas of diatomic molecules,

B,

has the corresponding values

30

and

21 .

If they are treated as ideal gases, then:

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

A cylinder with fixed capacity of

67.2

litre contains helium gas at STP. The amount of heat needed to raise the temperature of the gas by

20 ° C

is:
[Given that

R = 8.31 J m o l^{- 1} K^{- 1}]

EASY

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

The ratio of

\frac{C_{p}}{C_{v}}

for a diatomic gas is

EASY

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

One mole of

O_{2}

gas is heated at constant pressure starting at

27 ° C

. How much energy must be added to the gas as heat to double its volume?

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

When heat

Q

is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by

∆ T

. The heat required to produce the same change in temperature, at a constant pressure is:

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

The temperature of

5

moles of a gas which was held at constant volume was changed from

100 ° C

120 ° C

. The change in internal energy was found to be

80 J

. The total heat capacity of the gas at constant volume will be equal to

EASY

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

The molar heat capacity of oxygen gas at STP is nearly 2.5R. As the temperature is increased, it gradually increases and approaches 3.5 R. The most appropriate reason for this behaviour is that at high temperature

HARD

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

10

mole of an ideal gas is heated at a constant pressure of one atmosphere from

27 ° C

127 ° C

. If

C_{v, m} = 21.686 + 10^{- 3} T

, then what will be

Δ H

for the process?

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

70 cal of heat is required to raise the temperature of 2 moles of an ideal gas from 30

℃

to 35

℃

while the pressure of the gas is kept constant. The amount of the heat required to raise the temperature of the same gas through the same temperature range at constant volume is (gas constant

R = 2 c a l m o l^{- 1} - K^{- 1})

MEDIUM

Physics>Heat and Thermodynamics>Heat and Thermodynamics>Specific Heat Capacity of a Gas

Four moles of hydrogen, 2 moles of helium and 1 mole of water vapour form an ideal gas mixture. What is the molar specific heat at constant pressure of mixture?

The specific heat of a substance i.e at constant pressure is defined as the rate of change of _____ with respect to ______

Important Questions on Heat and Thermodynamics

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The specific heat of a substance i.e at constant pressure is defined as the rate of change of _ with respect to __