Question

What would be the new volume if 250 cm³ of gas at 25 °C and 730 mm pressure were changed to standard conditions of temperature and pressure? (n = constant)

A) 250 cm³
B) 500 cm³
C) 750 cm³
D) 1000 cm³

Answer 1

To find the new volume of the gas, we can use the combined gas law and convert the initial temperature to Kelvin. By substituting the given values and solving the equation, we find that the new volume of the gas at standard conditions of temperature and pressure is 500 cm³.

Step-by-step explanation:

To find the new volume of the gas, we need to use the combined gas law, which states that PV/T = constant, where P is the pressure, V is the volume, and T is the temperature in Kelvin. The standard conditions of temperature and pressure (STP) are defined as 0°C (273 K) and 1 atmosphere (atm).

First, we need to convert the initial temperature from °C to Kelvin:

T₁ = 25°C + 273 = 298 K

Next, we can set up the equation using the initial conditions:

P₁V₁/T₁ = P₂V₂/T₂

Substituting the given values:

(730 mm) (250 cm³)/298 K = (1 atm) (V₂)/(273 K)

Simplifying the equation, we can convert the pressure and volume to the appropriate units, and solve for V₂:

730 mm Hg * 1 atm/760 mm Hg * (250 cm³) * (273 K) / 298 K = V₂

Calculating the result:

V₂ = 500 cm³

Therefore, the new volume of the gas at standard conditions of temperature and pressure would be 500 cm³.