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likoan [24]
4 years ago
5

The pressure, P, of a gas, varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular a

mount of a gas is initially at a pressure of 84 Pa at a volume of 36 L. If the volume is expanded to 216 L, what will the new pressure be?
A. 6 Pa
B. 14 Pa
C. 216 Pa
D. 504 Pa
The answer is "B. 14 Pa"!
Mathematics
1 answer:
k0ka [10]4 years ago
4 0
<span>The pressure, P, of a gas, varies inversely with its volume, V
</span>
∴ PV = k    where k is constant

<span>The  pressure is 84 Pa at a volume of 36 L.
</span>
<span>∴ at P = 84  ⇒⇒⇒  V = 36
</span>
<span>∴ K = PV = 84 * 36 = 3,024  ⇒⇒(1)</span>

If the volume is expanded to 216 L, what will the new pressure be?
We need to find P  at  V = 216
From the equation (1) ⇒⇒⇒ PV = 3024
substitute with V = 216
∴ 216 P = 3024
∴ P = 3024/216 = 14 

The correct answer is option <span>B. 14 Pa</span>



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