A student performed an experiment to measure pressure and volume of a gas at constant temperature and noted the following:
Pressure (mm of $H g$ ) Volume $(c m^{3})$
100 80
125 $x$
200 40
$y$ 32
Calculate the value of $x$ and $y$ . Which law was used in the calculations? Draw a suitable graph.

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Solution

Boyle's law can be stated as, for a given mass of a gas the product of pressure and volume is always constant at constant temperature.
If $P_{1}, P_{2}, P_{3}, P_{4}$ are pressures of a gas in states $1, 2, 3, 4$ and corresponding volumes are $V_{1}, V_{2}, V_{3}, V_{4}$ at constant temperature, then according to Boyle's law, $P_{1} V_{1} = P_{2} V_{2} = P_{3} V_{3} = P_{4} V_{4}$
$i)$ $P_{1} V_{1} = P_{2} V_{2} ⟶$ $100 \times 80 = 125 \times x ∴ x = \frac{100 \times 80}{125} = 64$
$i i)$ $P_{1} V_{1} = P_{4} V_{4} ⟶$ $100 \times 80 = y \times 32 ∴ y = \frac{100 \times 80}{32} = 250$

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Pressure (mm of $H g$ )	Volume $(c m^{3})$
100	80
125	$x$
200	40
$y$	32

A student performed an experiment to measure pressure and volume of a gas at constant temperature and noted the following:Pressure (mm of Hg)Volume (cm3)10080125x20040y32Calculate the value of x and y. Which law was used in the calculations? Draw a suitable graph.

A student performed an experiment to measure pressure and volume of a gas at constant temperature and noted the following:
Pressure (mm of $H g$ ) Volume $(c m^{3})$
100 80
125 $x$
200 40
$y$ 32
Calculate the value of $x$ and $y$ . Which law was used in the calculations? Draw a suitable graph.