# In an isothermal process on an ideal gas, the pressure increases by 0.5%. The volume decreases by about

Q: In an isothermal process on an ideal gas, the pressure increases by 0.5%. The volume decreases by about

(a) 0.25 %

(b) 0.50 %

(b) 0.7 %

(d) 1 %

Ans: (b)

Sol: $P’ = P + \frac{0.5 P}{100}$

Since , $\large P V = P’ V’$

$\large P V = P (1 + \frac{0.5}{100}) V’$

$\large \frac{V’}{V} = (1 + \frac{0.5}{100})^{-1}$

$\large \frac{V’}{V} = (1 – \frac{0.5}{100})$

$\large (\frac{V’}{V} -1 )\times 100 = – \frac{0.5}{100}\times 100$

= -0.5 %