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

Answer:

$160cm {}^{3}$

Step-by-step explanation:

$v = \frac{k}{p} \: \: were \: v = 200cm {}^{3} \: \: p = 32 \frac{kg}{cm {}^{3} } \\ 200 = \frac{k}{p} \: \\ k = 200 \times 32 \\ k = 6400 \\ equation \: connecting \: vand \: p \\ v = \frac{6400}{p} \\ when \: p = 40kg \\ v = \frac{6400}{40} \\ v = 160cm {}^{3}$