Question

A fixed volume of a gas occupies 228 cm cube at 27 degree Celsius and 70 cm of Mercury what is volume at STP

Answer 1

The volume of the gas at STP will be $191.1cm^3$

Explanation:

At STP:

The temperature and pressure conditions are 273 K and 1 atm or 760 mmHg.

To calculate the volume when temperature and pressure has changed, we use the equation given by combined gas law.

The equation follows:

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

where,

$P_1,V_1\text{ and }T_1$ are the initial pressure, volume and temperature of the gas

$P_2,V_2\text{ and }T_2$ are the final pressure, volume and temperature of the gas

We are given:

$P_1=70cmHg=700mmHg\\V_1=228cm^3\\T_1=27^oC=[27+273]K=300K\\P_2=760mmHg\\V_2=?cm^3\\T_2=273K$

Putting values in above equation, we get:

$\frac{700mmHg\times 228cm^3}{300K}=\frac{760mmHg\times V_2}{273K}\\\\V_2=\frac{700\times 228\times 273}{760\times 300}=191.1cm^3$

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Answer 2

Given:

Volume of gas, V₁ = 228 cm³

Temperature of gas, T₁ = 27 °C = 27 + 273 = 300 K

Pressure of gas, P₁ = 70 cm Hg = 700 mm Hg

To Find:

Volume of the gas at STP, i.e., V₂

Calculation:

- STP conditions are:

Temperature, T₂ = 273 K

Pressure, P₂ = 760 mm Hg

- Applying combined gas law, we get:

P₁V₁/T₁ = P₂V₂/T₂

⇒ V₂ = P₁V₁T₂/T₁P₂

⇒ V₂ = (700 × 228 × 273) / (300 × 760)

⇒ V₂ = 191.1 cm³

- So the volume of gas at STP is 191.1 cm³.