Question

The volume V of gas varies inversely to the pressure P. The volume of a gas is 200cm^3 under pressure of

32 Kg divided by cm^2
What will be its volume under pressure of 40 kg divided by cm^2?

Answer 1

`160cm {}^(3)`

Explanation:

`v = (k)/(p) \: \: were \: v = 200cm {}^(3) \: \: p = 32 \frac{kg}{cm {}^(3) } \\ 200 = (k)/(p) \: \\ k = 200 * 32 \\ k = 6400 \\ equation \: connecting \: vand \: p \\ v = (6400)/(p) \\ when \: p = 40kg \\ v = (6400)/(40) \\ v = 160cm {}^(3)`