Question

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

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

Answer 1

Answer: (D)

Given,

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

Initial volume, $V_1=1m^3$

Final volume, $V_2=10\times 10^{-3}{m}^3=10^{-2}{m}^3$

$W=p\Delta V$

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