Question

A canister of gas has volume of 1500mL at 22^0C . What volume will the gas occupy at 0^0C . If the pressure remains constant?​

Answer 1

Answer:

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Answer 2

Answer:

The volume of gas occupied at 0°C is 1,388 mL.

Explanation:

• According to Charles' Law: for a fixed amount of gas, at constant pressure, the volume of the gas is directly proportional to its absolute temperature.

• Absolute temperature is Kelvin.

1. Pressure = constant
2. Number of moles = constant
3. V∝T

⇒V = kT

$\frac{V1}{T1} = \frac{V2}{T2}$

In this equation we will substitute the following values:

1. $V_{1}$ = 1500 mL
2. $T_{1}$ = 22°C (273 + 22 = 295K)
3. $T_{2}$ = 0°C (273 + 0 = 273K)

$\frac{1500}{295} = \frac{V2}{273}$

295 × $V_{2}$ = 1500 × 273

295 × $V_{2}$  = 409,500

$V_{2}$ = $\frac{409,500}{295}$

$V_{2}$ = 1,388 mL

Conclusion:

The volume occupied at 0°C will be 1,388 mL.