Question

A sample of nitrogen occupies 5.50 liters under a pressure of 900 torr at 25°C. At what temperature will it occupy 15.0 liters at the same pressure

Answer 1

To solve this problem, we can use the combined gas law formula. By plugging in the given values and solving for T₂, we find that the temperature at which the nitrogen will occupy 15.0 liters at the same pressure is 312.69 K.

Step-by-step explanation:

To solve this problem, we can use the combined gas law formula:

P₁V₁/T₁ = P₂V₂/T₂

Using the given information:

• P₁ = 900 torr
• V₁ = 5.50 liters
• T₁ = 25 °C
• P₂ = 900 torr
• V₂ = 15.0 liters
• T₂ = ?

Plug in the values and solve for T₂:

900 torr * 5.50 liters / (25 °C + 273.15) = 900 torr * 15.0 liters / T₂

Now, solve for T₂:

T₂ = (900 torr * 15.0 liters * (25 °C + 273.15)) / (900 torr * 5.50 liters)

Simplifying the equation:

T₂ = 312.69 K

Therefore, the temperature at which the nitrogen will occupy 15.0 liters at the same pressure is 312.69 K.