Convert 0.982 atm to mmHg using the following: 760 mmHg = 1 atm. Select the correct answer below: 519 mmHg 746 mmHg 920 mmHg 1030 mmHg
The Correct Answer and Explanation is:
To convert 0.982 atm to mmHg, we can use the conversion factor:1 atm=760 mmHg1 \, \text{atm} = 760 \, \text{mmHg}1atm=760mmHg
Now, multiply 0.982 atm by 760 mmHg/atm:0.982 atm×760 mmHg1 atm=746.32 mmHg0.982 \, \text{atm} \times \frac{760 \, \text{mmHg}}{1 \, \text{atm}} = 746.32 \, \text{mmHg}0.982atm×1atm760mmHg=746.32mmHg
So, 0.982 atm is equivalent to approximately 746 mmHg.
Thus, the correct answer is 746 mmHg.
Explanation:
When you convert between different units, such as atm and mmHg, you use the appropriate conversion factor to ensure that the units cancel out and you’re left with the desired units. In this case, since we are converting from atmospheres (atm) to millimeters of mercury (mmHg), we multiply by the conversion factor 760 mmHg=1 atm760 \, \text{mmHg} = 1 \, \text{atm}760mmHg=1atm. The atmospheric pressure at sea level is about 1 atm, which is equivalent to 760 mmHg. So, multiplying by 760 gives us the pressure in mmHg.
This is a direct unit conversion, and understanding the relationships between different units of pressure (like atm, mmHg, and pascals) is essential in fields such as chemistry and physics where pressure is a key measurement in gas laws.
