Answer to Question #120345 in Molecular Physics | Thermodynamics for Umar

Question

Some hydrogen gas has a volume of 200cm3 at 150c. If the pressure remain constant at what temperature will its volume be 150cm3?

Answer 1

Given data are

$$V_1=200cm^3=2\times 10^{-4}m^3\\T_1=150^{\circ}C=(150+273)=423K\\ V_2=150cm^3=1.5\times 10^{-4}m^3$$

Let $T_2$ is the temperature of hydrogen gas when volume of gas is $V_2=150cm^3$ .

From, The Charles's Law of constant pressure we get

$$\frac{V_1}{T_1}=\frac{V_2}{T_2}\\ \implies T_2=\frac{V_2 T_1}{V_1}$$

Thus, On plugin the given data we get,

$$T_2=\frac{1.5\times 10^{-4}m^3}{2\times 10^{-4}m^3}\times 423\\ \implies T_2=317.25K$$