Question

a flexible vessel contains 37 l of gas where the pressure is 1.0 atm. what will the volume be when the pressure is 0.70 atm, the temperature remaining constant? a. 0.046 l b. 37 l c. 26 l d. 53 l e. 0.019 l

Answer 1

`\huge{ \boxed{53 \: L}}`

Step-by-step explanation:

Since temperature is constant the new volume can be found by using the formula for Boyle's law which is;

`v_2 = (p_1v_1)/(p_2) \\`

P1 is the initial pressure

P2 is the final pressure

V1 is the initial volume

V2 is the final volume

From the question

v1 = 37 L

P1 = 1 atm

P2 = 0.7 atm

Substituting the values into the above formula we have.

`v_2 = (37 * 1)/(0.7) = (37)/(0.7) \\ = 52.857 \approx53`

We have the final answer as

53 L