Question

An ideal gas, initially at a volume of 2.4 L and
pressure of 5 kPa, undergoes isothermal expansion until its volume is 6 L and its pressure
is 2 kPa.

A) Calculate the work done by the gas during
this process.
Answer in units of J.

B) find the heat added to the gas during this process.
Answer in units of J.

Answer 1

(a) The work done by the gas during this process is -10.8 J.

(b)  The heat added to the gas during this process is 10.8 J.

Work done by the gas against an external pressure

The work done by the gas during the isothermal expansion is calculated as follows;

W(net) = ΔP x ΔV

W(net) = (2 kPa - 5 kPa) x (6L - 2.4 L)

W(net) = (-3kPa) x 3.6L

W(net) = -10.8 kPa.L

W(net) = -10.8 J

Heat added to the gas

W = - Q

-10.8 J = -Q

Q = 10.8 J

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