Answer :
To convert the pressure of a gas from atmospheres (atm) to kilopascals (kPa), you can use the fact that 1 atmosphere is equal to 101.325 kilopascals. Here’s a step-by-step explanation of how to do the conversion:
1. Identify the given pressure in atmospheres:
The pressure provided is 2.42 atm.
2. Use the conversion factor:
We know that 1 atm = 101.325 kPa.
3. Multiply the atmospheric pressure by the conversion factor to get pressure in kPa:
[tex]\( \text{Pressure in kPa} = 2.42 \, \text{atm} \times 101.325 \, \text{kPa/atm} \)[/tex]
4. Calculate the result:
Performing the multiplication, you get:
[tex]\[
2.42 \times 101.325 = 245.2065 \, \text{kPa}
\][/tex]
5. Round the answer to a reasonable number of significant figures or select the closest option if multiple choice is provided:
Here, we round it to three significant figures for simplicity, obtaining 245 kPa.
Therefore, the pressure of the gas in kilopascals is approximately 245 kPa. This matches the third option in the choices given.
1. Identify the given pressure in atmospheres:
The pressure provided is 2.42 atm.
2. Use the conversion factor:
We know that 1 atm = 101.325 kPa.
3. Multiply the atmospheric pressure by the conversion factor to get pressure in kPa:
[tex]\( \text{Pressure in kPa} = 2.42 \, \text{atm} \times 101.325 \, \text{kPa/atm} \)[/tex]
4. Calculate the result:
Performing the multiplication, you get:
[tex]\[
2.42 \times 101.325 = 245.2065 \, \text{kPa}
\][/tex]
5. Round the answer to a reasonable number of significant figures or select the closest option if multiple choice is provided:
Here, we round it to three significant figures for simplicity, obtaining 245 kPa.
Therefore, the pressure of the gas in kilopascals is approximately 245 kPa. This matches the third option in the choices given.
