A balloon is blown up with 1 mole of gas has a volume of 480 mL at 5 ° C . The balloon is filled to 7 8 of its maximum capacity. Suggest the minimum temperature in Kelvin at which it will burst.

Given, Number of moles ' n ' = 1 Volume V = 480 ml Temperature T = 5 ° C = 5 + 273 K = 278 K V = 7 8 V max Solution, ∴ V max = 8 7 V . . . . . . . . . . 1 Now, putting the value of ' V ' in equation 1 [maximum capacity of balloon] V max = 8 7 × 480 ∴ V max = 548 . 57 ml → Pressure will be constant during the expansion of balloon from V → V max → So according to Charle's law V 1 T 1 = V 2 T 2 Here, T 2 = temperature at which balloon will burst & It is the minimum temperature required for the same. At this temperature volume becomes 548 . 57 ml . 480 278 = 548 . 57 T 2 ∴ T 2 = 317 . 71 K

A balloon is blown up with 1 mole of gas has a volume of 480 mL at 5 ° C . The balloon is filled to 7 8 of its maximum capacity. Suggest the minimum temperature in Kelvin at which it will burst.

Given, Number of moles ' n ' = 1 Volume V = 480 ml Temperature T = 5 ° C = 5 + 273 K = 278 K V = 7 8 V max Solution, ∴ V max = 8 7 V . . . . . . . . . . 1 Now, putting the value of ' V ' in equation 1 [maximum capacity of balloon] V max = 8 7 × 480 ∴ V max = 548 . 57 ml → Pressure will be constant during the expansion of balloon from V → V max → So according to Charle's law V 1 T 1 = V 2 T 2 Here, T 2 = temperature at which balloon will burst & It is the minimum temperature required for the same. At this temperature volume becomes 548 . 57 ml . 480 278 = 548 . 57 T 2 ∴ T 2 = 317 . 71 K

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A balloon is blown up with $1 mole$ of gas has a volume of $480 mL$ at $5 ° C$ . The balloon is filled to $\frac{7}{8}$ of its maximum capacity. Suggest the minimum temperature in Kelvin at which it will burst.

Important Questions on States of Matter

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.1>Q 2

A car tyre has a volume of $10 L$ when inflated. The tyre is inflated to a pressure of $3 atm$ at $17 ° C$ with air. Due to driving the temperature of tyre increases to $47 ° C$ . What would be the pressure at this temperature?

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.1>Q 2

A car tyre has a volume of $10 L$ when inflated. The tyre is inflated to a pressure of $3 atm$ at $17 ° C$ with air. Due to driving the temperature of tyre increases to $47 ° C$ . How many litres of air measured at $47 ° C$ and pressure of $1 atm$ should be let out to restore the tyre to $3 atm$ at $47 ° C$ ?

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.1>Q 3

A gas filled in freely collapsible balloon is pushed from the surface level of lake to a depth of

100

meter

. Calculate what percent of its original volume, the balloon finally has. Assume ideal gas nature.

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.1>Q 4

An iron cylinder contains helium at a pressure of

250 kPa

300 K

. The cylinder can withstand a pressure of

1 \times 10^{6} Pa

. The room in which cylinder is placed catches fire. Predict whether the cylinder will blow up before it melts or not. Given, that the melting point of cylinder

= 1800 K

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.1>Q 5

Question Image

In the diagrams above, a doll is entrapped within a piston and cylinder containing gas. Initial and final conditions are shown in figure $I$ and figure $II$ , respectively. The volume of the doll is

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.1>Q 6

Which of the following graph is/are correct as per Charles law?

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.1>Q 7

An open vessel contains

200 mg

of air at

17^{°} C

. What weight percent of air would be expelled if, the vessel is heated to

117^{°} C

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.1>Q 8

A manometer is connected to a bulb containing a gas. The open arm reads

43.7 cm

, whereas the arm connected to the bulb reads

15.6 cm

. If the barometric pressure is

743 mm

mercury, what is the pressure of gas in bar?

A balloon is blown up with 1 mole of gas has a volume of 480 mL at 5°C. The balloon is filled to 78 of its maximum capacity. Suggest the minimum temperature in Kelvin at which it will burst.

Important Questions on States of Matter

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A balloon is blown up with $1 mole$ of gas has a volume of $480 mL$ at $5 ° C$ . The balloon is filled to $\frac{7}{8}$ of its maximum capacity. Suggest the minimum temperature in Kelvin at which it will burst.