To convert pressure from torr to atmospheres (atm), we can use the conversion factor:
[tex]\[ 1 \text{ atm} = 760 \text{ torr} \][/tex]
Given:
[tex]\[ \text{Pressure in torr} = 449 \text{ torr} \][/tex]
We need to convert this pressure into atmospheres using the conversion factor.
### Step-by-Step Solution:
1. Identify the Conversion Factor:
The conversion factor between torr and atm is:
[tex]\[ 1 \text{ atm} = 760 \text{ torr} \][/tex]
This means that to convert from torr to atm, we use:
[tex]\[ \text{Pressure in atm} = \frac{\text{Pressure in torr}}{760} \][/tex]
2. Substitute the Given Value:
Substitute the given pressure in torr (449 torr) into the conversion equation:
[tex]\[ \text{Pressure in atm} = \frac{449 \text{ torr}}{760 \text{ torr/atm}} \][/tex]
3. Calculate:
Now, perform the division:
[tex]\[ \text{Pressure in atm} = \frac{449}{760} \][/tex]
4. Obtain the Result:
Carry out the division:
[tex]\[ \text{Pressure in atm} \approx 0.5907894736842105 \][/tex]
Thus, [tex]\( 449 \text{ torr} \)[/tex] is approximately equal to [tex]\( 0.5907894736842105 \text{ atm} \)[/tex].
