The pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
The pressure, P, of a gas varies inversely with its volume, V.
P ∝ 1/V
P = k/V
k is the constant.
If P = 126 Pa and V = 52 L
126 = k/52
k = 6552
P = 6552/V
Plug V = 168 L
P = 6552/168 = 39 Pa
Thus, the pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
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