MCQ
At constant temperature on increasing the pressure of a gas by $5\%$ will decrease its volume by ..... $\%$
- A$5$
- B$5.26$
- C$4.26$
- ✓$4.76$
✓
Answer
Correct option: D.
$4.76$
d
Given: $T=$ constant, $P \hat{i} \; 5 \%$, find change in Volume $\%$
Given: $T=$ constant, $P \hat{i} \; 5 \%$, find change in Volume $\%$
Initial state $P_{0},V_{0},T_{0}\longrightarrow$ Fianl state $1.05 P_{0},V,T_{0}$
Using Boyles law
$P_{1} V_{1}=P_{2} v_{2}$
$P_{0} V_{0}=1.05 P_{0} V$
$V=0.9524 V_{0}$
$\Delta V \%$
$=\frac{V_{f}-V_{i}}{V_{i}} \times 100$
$=\left(\frac{V_{0}-0.9524 V_{0}}{V_{0}}\right) \times 100$
$=4.76 \%$
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