98.8k views
2 votes
A scuba tank is filled with air to a pressure of 150°C. Calculate the pressure inside of the tank at 15°C°?

User Dharmang
by
8.6k points

1 Answer

5 votes

Final answer:

The pressure inside the scuba tank at 15°C cannot be calculated accurately without additional information.

Step-by-step explanation:

To solve this problem, we can use the Combined Gas Law, which relates the pressure, volume, and temperature of a gas. The equation for the Combined Gas Law is: P₁V₁/T₁ = P₂V₂/T₂, where P₁ and T₁ are the initial pressure and temperature, P₂ and T₂ are the final pressure and temperature, and V₁ and V₂ are the initial and final volumes.

In this case, we are given the initial pressure (150°C) and the final temperature (15°C). We need to find the final pressure. Let's use the formula and plug in the values:

P₁ = 150°C, T₁ = ?°C, P₂ = ?°C, T₂ = 15°C

P₁V₁/T₁ = P₂V₂/T₂

150°C * V₁/T₁ = P₂ * V₂/15°C

Now, we can solve for P₂ by isolating it:

P₂ = (150°C * V₁ * 15°C) / (T₁ * V₂)

Since we don't have the values for V₁, V₂, and T₁, we cannot calculate the final pressure accurately. We need additional information to solve this problem.

User Cameron Peters
by
7.7k points