Question

A container having 1 mole of a gas at a temperature 27C has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes 127C. Then find the work done ($C_p$ for gas is 7.03 cal/mol-K)

• A. 703J
• B. 831J
• C. 12l J
• D. 2035 J

Answer 1

Answer: (B)

831J

Given : A container having 1 mole of a gas at a temperature 27C has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes 127C. Then find the work done (CpCp for gas is 7.03 cal/mol-K)

Solution :

Work done =$P\Delta V$ or $nR\Delta T$

We have $\Delta T=(273+127-27-273)$K (We need temperature in Kelvin)

$\Delta T=100$K

Work done =$1mol\times 8.31J/K-mol\times 100K$

Work done =831 J