To calculate the pressure of oxygen at a new temperature, we can use Charles's Law, which states that the pressure of a gas is directly proportional to its absolute temperature when the volume and amount of gas are kept constant.
The equation for Charles's Law is as follows:
P1 / T1 = P2 / T2
Where: P1 = Initial pressure T1 = Initial temperature in Kelvin P2 = Final pressure (unknown) T2 = Final temperature in Kelvin
First, let's convert the initial temperature and the new temperature from Celsius to Kelvin:
T1 = 37°C + 273.15 = 310.15 K T2 = 40°C + 273.15 = 313.15 K
Now we can rearrange the equation and solve for P2:
P2 = (P1 * T2) / T1
Substituting the given values:
P2 = (940 torr * 313.15 K) / 310.15 K
Calculating this expression gives us the pressure at the new temperature:
P2 ≈ 948.78 torr
Therefore, the pressure of oxygen at 40°C would be approximately 948.78 torr.