Question

I believe the answer is 4 fold but I'm not sure

Answer 1

Its volume will be 12-fold.

From the Ideal Gas formula we know that:

`\frac{P_{1\text{ }}\cdot V_1}{T_1}=(P_2\cdot V_2)/(T_2)`

- P is the pressure os the gas.

- V is the volume of the gas.

- T is the temperature of the gas.

So, we can replace the hypothetical values to calculate the volume of the gas:

`\begin{gathered} \frac{P_{1\text{ }}\cdot V_1}{T_1}=(P_2\cdot V_2)/(T_2) \\ \\ \frac{P_{1\text{ }}\cdot V_1}{T_1}=(P_(1\cdot)(1)/(3)\cdot V_2)/(T_1\cdot4) \\ V_1=\frac{P_(1\cdot)(1)/(3)\cdot V_2\cdot T_1}{P_{1\text{ }}\cdot T_1\cdot4} \\ V_1=\frac{_{}(1)/(3)\cdot V_2_{}}{_{}4} \\ V_1\cdot4\cdot3=V_2 \\ V_1\cdot12=V_2 \end{gathered}`

Finally, its volume will be 12-fold.