Question

To what pressure must a gas be compressed in order for it to fit 400 cubic meters ( at standard pressure) of it into 3.00 cubic meter tank?

Answer 1

Boyle's law is:

$$p ^ {\prime} V = c o n s t \quad , \text{where } p \text{ denotes the pressure of the system, } V \text{ denotes the volume of the gas.}$$ $$\begin{array}{l} \text{So, } p _ {0} ^ {\prime} V _ {0} = p _ {1} ^ {\prime} V _ {1} \\ 1 \cdot 4 0 0 = p _ {1} \cdot 3 \Leftrightarrow p _ {1} = \frac {4 0 0}{3} = 1 3 3 \quad \text{atm} \end{array}$$