Question

The volume, V, of gas varies inversely with the pressure, P, on it. If the volume is 320 cm^3 under pressure of 40 kg/cm^2, what pressure has to be applied to have a volume of 200 cm^3?



Fill in the blank:

Answer: _________ kg/cm^2

Answer 1

The pressure $64kg/cm^{2}$ has to be applied to have a volume of $200cm^{3}$

Explanation:

According to Boyle's law, for a fixed amount of gas, the volume and pressure are inversely proportional.

$P_{1} \cdot V_{1}=P_{2} \cdot V_{2}$

Substituting the values, we get,

$40 \times 320=P_{2} \times 200$

Dividing both sides by 200,

$\frac{40 \times 320}{200}=P_{2}$

Simplifying the terms, we get,

$\begin{aligned}\frac{12800}{200} &=P_{2} \\64 &=P_{2}\end{aligned}$

Thus, the pressure $64kg/cm^{2}$ has to be applied to have a volume of $200cm^{3}$