The volume V of a given mass of a gas varies directly as the temperature T and inversely as the pressure P.? If V=200 cm^3, T=40 degree and P=10 kg/cm^2, how do you find the volume when T=30 degree, P=5kg/cm^2?

Question

The volume V of a given mass of a gas varies directly as the temperature T and inversely as the pressure P.? If V=200 cm^3, T=40 degree and P=10 kg/cm^2, how do you find the volume when T=30 degree, P=5kg/cm^2?

1 Answer

Impact of this question

22880 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-14T12:00:07

The volume of gas is $300 c m^{3}$ $300 cm^3$

Explanation:

$V \propto T, V \propto \frac{1}{P}$ $V prop T , V prop 1/P$ . Jointly $V \propto \frac{T}{P} or V = k \cdot \frac{T}{P}$ $V prop T/P or V = k * T/P$ , k is

proporionality constant. $V = 200, T = 40, P = 10$ $V=200 , T= 40 , P=10$

$V = k \cdot \frac{T}{P} or k = \frac{P V}{T} = \frac{10 \cdot 200}{40} = 50 or k = 50$ $V = k * T/P or k = (PV)/T= (10*200)/40=50 or k =50$

$T = 30, P = 5, V = ?$ $T=30 , P=5 , V= ?$

The $P, V, T$ $P,V,T$ equation is $V = k \cdot \frac{T}{P} or V = 50 \cdot \frac{30}{5} = 300 c m^{3}$ $V = k * T/P or V = 50 * 30/5 =300 cm^3$

The volume of gas is $300 c m^{3}$ $300 cm^3$ [Ans]

Science

Math

Humanities

... and beyond

The volume V of a given mass of a gas varies directly as the temperature T and inversely as the pressure P.? If V=200 cm^3, T=40 degree and P=10 kg/cm^2, how do you find the volume when T=30 degree, P=5kg/cm^2?

1 Answer

Explanation:

Related questions

Impact of this question