Question

A cylinder contains 0.300 mol of carbon dioxide (CO2) gas at a temperature of 30.0 ∘C. The cylinder is provided with a frictionless piston, which maintains a constant pressure of 1.00 atm on the gas. The cylinder is placed on a hot plate and a 920 J of heat flows into the gas, thereby raising its temperature to 129 ∘C. Assume that the CO2 may be treated as an ideal gas. How much work is done by the gas in this process?

Answer 1

Answer:246.92 kJ

Explanation:

Given

Initial Temperature $T_i=30^{\circ}C$

Final Temperature $T_f=129^{\circ}C$

no of moles $n=0.3$

Pressure is constant $P=1 atm$

As Pressure is constant therefore work done is given by

$W=P\Delta V$

$P\Delta V$ can also be written as $P\Delta V=nR\Delta T$

$W=nR\Delta T$

$W=0.3\times 8.314\times (129-30)$

$W=246.92 kJ$