Question

When the temperature of 23 ml. of dry CO, gas is changed from 10° to 30°C at constant pressure of 760 mm, the volume of gas becomes closest to which one of the following?

(A) 7.7 ml
(B) 21.5 ml
(C) 24.6 ml
(D) 69 ml​

Answer 1

To find the final volume of CO2 gas when the temperature changes, we can use Charles's Law and the given initial volume and temperature. By plugging in the values and solving the equation, the volume is approximately 69 ml. Therefore, the correct option is D.

Step-by-step explanation:

In this question, we are given the initial volume of dry CO2 gas as 23 ml and the initial temperature as 10°C. We need to find the volume of the gas when the temperature is changed to 30°C at constant pressure.

To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure and amount of gas. Mathematically, this can be written as:

V₁ / T₁ = V₂ / T₂

where V₁ and T₁ are the initial volume and temperature, and V₂ and T₂ are the final volume and temperature.

Plugging in the given values, we have:

23 ml / (10°C + 273) = V₂ / (30°C + 273)

Simplifying this equation, we can solve for V₂:

V₂ = (23 ml) × (30°C + 273) / (10°C + 273)

Calculating this expression gives us a volume of approximately 69 ml. Therefore, the volume of the gas becomes closest to 69 ml (option D).