Question

a canisstyof gas has a volume of 1500mL at 22C. What volume will the gas occupy at 0.0 C if the pressure remains constant

Answer 1

Given:

Volume of canister, V1 = 1500 ml

Temperature, T1 = 22°C

Final temperature, T2 = 0°C

Let's find the volume the gas will occupy if the pressure remains constant.

To find the volume, V2, if the pressure remains constant, apply Charles' law:

`(V_1)/(T_1)=(V_2)/(T_2)`

Where:

V1 = 1500 ml

T1 = 22°C

T2 = 0°C

Let's solve for V2.

First convert the temperature from degrees celsius to Kelvin.

Where:

0°C = 273K

T1 = 22°C + 273 = 295K

Hence, we have:

T1 = 295K

T2 = 273K

Thus, solving for V2, 23 have:

`\begin{gathered} (V_1)/(T_1)=(V_2)/(T_2) \\ \\ (1500)/(295)=(V_2)/(273) \end{gathered}`

Cross multiply:

`V_2\ast295=1500\ast273`

Divide both sides by 295:

`\begin{gathered} (V_2\ast295)/(295)=(1500\ast273)/(295) \\ \\ V_2=(1500\ast273)/(295) \\ \\ V_2=(409500)/(295) \\ \\ V_2=1388.14ml \end{gathered}`

Therefore, the volume the gas will occupy if the pressure remains constant is 1388.14 ml.

ANSWER:

1388.14 mL