Question

Calculate the volume the gas will occupy if the temperature is increased to 165 ° C while the pressure is held constant.
Express the answer in liters to three significant figures.

Answer 1

To calculate the volume of a gas when the temperature is increased while keeping the pressure constant, we can use Charles's Law. Charles's Law states that the volume of a gas is directly proportional to its absolute temperature (in Kelvin) when pressure is held constant.

The formula for Charles's Law is:

\[
\frac{V_1}{T_1} = \frac{V_2}{T_2}
\]

Where:
- \( V_1 \) = initial volume
- \( T_1 \) = initial temperature (in Kelvin)
- \( V_2 \) = final volume
- \( T_2 \) = final temperature (in Kelvin)

First, we need to convert the temperatures from degrees Celsius to Kelvin using the following conversion formula:

\[
T(K) = T(°C) + 273.15
\]

Next, let's assume you have the initial conditions. Let's say the initial temperature \( T_1 \) is the initial temperature in degrees Celsius, which we need to convert to Kelvin:

1. Convert the initial temperature \( T_1 \) to Kelvin:
\[
T_1(K) = T_1(°C) + 273.15
\]

2. Convert the final temperature \( T_2 \):
\[
T_2(°C) = 165 \implies T_2(K) = 165 + 273.15 = 438.15 \, K
\]

Now, let’s say the initial volume \( V_1 \) is given. If you provide me with the initial volume \( V_1 \), I can calculate the final volume \( V_2 \) using the above equation.

So overall, to find \( V_2 \):

\[
V_2 = V_1 \times \frac{T_2}{T_1}
\]

If you provide the initial volume \( V_1 \) and initial temperature \( T_1 \), I can give you a specific numerical answer.