Name: Calorimeter
Uploaded: 2019-07-19
Duration: 3 min 29 s
Description: Let's study the parts of a calorimeter and understand its functioning. Also, explore the exchange of heat that takes place when a substance of two varying te...

Question

Length of an aluminium wire is

100 cm

. What will be the increase in its length when its temperature is raised to

50 ° C

from

30 ° C

? Coefficient of linear expansion for aluminium is

26 \times 10^{- 6} / ° C

.

Accepted Answer

Given,

Length of the aluminium wire, $l = 100 cm$

Initial temperature, $T_{1} = 30 ° C$

Final temperature, $T_{2} = 50 ° C$

Coefficient of linear expansion is defined as the rate of change of unit length per unit degree of change in temperature.

Coefficient of linear expansion for aluminium, $α_{L} = 26 \times 10^{- 6} / ° C$ .

Change in length of aluminium, $∆ L = α_{L} \times ∆ T \times l$

Change in temperature, $∆ T = T_{2} - T_{1} = 50 ° C - 30 ° C = 20 ° C$

Substituting, $∆ L = α_{L} \times ∆ T \times l = 26 \times 10^{- 6} / ° C \times 20 ° C \times 100 cm = 0.052 cm$

So the change in length of the aluminium wire is $0.052 cm$ .

Length of an aluminium wire is $100 cm$ . What will be the increase in its length when its temperature is raised to $50 ° C$ from $30 ° C$ ? Coefficient of linear expansion for aluminium is $26 \times 10^{- 6} / ° C$ .

Important Questions on Heat and Temperature

Learn and Prepare for any exam you want !

Length of an aluminium wire is 100 cm. What will be the increase in its length when its temperature is raised to 50 °C from 30 °C? Coefficient of linear expansion for aluminium is 26×10-6/°C.

Important Questions on Heat and Temperature

Learn and Prepare for any exam you want !

Length of an aluminium wire is $100 cm$ . What will be the increase in its length when its temperature is raised to $50 ° C$ from $30 ° C$ ? Coefficient of linear expansion for aluminium is $26 \times 10^{- 6} / ° C$ .