At what new pressure $100 \mathrm{~mL}$ of a gas at pressure of $720 \mathrm{~mm}$ will occupy volume of $84…

At what new pressure $100 \mathrm{~mL}$ of a gas at pressure of $720 \mathrm{~mm}$ will occupy volume of $84 \mathrm{~mL}$ keeping temperature constant?
  1. $857 \cdot 14 \mathrm{~mm}$
  2. $712 \cdot 14 \mathrm{~mm}$
  3. $816 \cdot 60 \mathrm{~mm}$
  4. $604 \cdot 82 \mathrm{~mm}$

Solution

According to Boyle's law, $P_{1} V_{1}=P_{2} V_{2}$ $\therefore P_{2}=\frac{P_{1} V_{1}}{V_{2}}=\frac{720 \times 100}{84}=857.14 \mathrm{~mm}$

Asked in: MHT CET 2020 (14 Oct Shift 2)

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