Question

The pressure of a gas is $100\, kPa$ . If it is compressed from $1\, m^3$ to $10 \,dm^3$ , find the work done.

• A. $990\,J$
• B. $9990 \,J$
• C. $9900 \,J$
• D. $99000 \,J$

Answer 1

Answer: (D)

Given,

pressure, $p=100 kPa =10^{5} Pa$

Initial volume, $V_{1}=1 \,m ^{3}$

Final volume, $V_{2} =10 \times 10^{-3} \,m ^{3}=10^{-2} \,m ^{3}$

$W =p \Delta V$

$=10^{5}\left(1-10^{-2}\right)=99,000 \,J$