High School

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A student collects 450 mL of HCl gas at a pressure of 101 kPa and a temperature of 17ºC. What would the volume of the gas be if the temperature is increased to 25ºC and the pressure is increased to 104 kPa?

Answer :

Answer:

449 mL

Explanation:

Using Ideal gas equation for same mole of gas as

[tex] \frac {{P_1}\times {V_1}}{T_1}=\frac {{P_2}\times {V_2}}{T_2}[/tex]

Given ,

V₁ = 450 mL

V₂ = ?

P₁ = 101 kPa

P₂ = 104 kPa

T₁ = 17 ºC

T₂ = 25 ºC

The conversion of T( °C) to T(K) is shown below:

T(K) = T( °C) + 273.15

So,

T₁ = (17 + 273.15) K = 290.15 K

T₂ = (25 + 273.15) K = 298.15 K

Using above equation as:

[tex] \frac {{P_1}\times {V_1}}{T_1}=\frac {{P_2}\times {V_2}}{T_2}[/tex]

[tex] \frac {{101}\times {450}}{290.15}=\frac {{104}\times {V_2}}{298.15}[/tex]

Solving for V₂ , we get:

V₂ = 449 mL

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