Please help me, I don’t understand!!
The pressure in a car is 35psi on a winter day when the temperature is 0 degrees Celsius. What is the pressure in the same car tire, assuming the volume of the tire has not changed, on a summer day when the temperature is 30 degrees Celsius. (Use gay-lussac’s law.) show all calculations.
35psi is gauge pressure. Add atmospheric pressure to find true pressure: 49.6PSI
Now use P1/T1=P2/T2
convert temp to kelvins
P2=P1 (T2/t1)=49.6 * (303/273)=55PSI
now convert that absolute pressure to gauge
55-14.6=40.4PSI
This assumes atmospheric pressure did not change with temp.
Sure, I can help you with that! To determine the pressure in the car tire on a summer day, we can use Gay-Lussac's law. Gay-Lussac's law states that the pressure of a gas is directly proportional to its temperature, assuming the volume and amount of gas remain constant.
To solve this problem, we'll use the formula:
P1/T1 = P2/T2,
where P1 is the initial pressure, T1 is the initial temperature, P2 is the final pressure, and T2 is the final temperature.
Given:
P1 = 35 psi (pressure on the winter day)
T1 = 0 degrees Celsius (winter temperature)
T2 = 30 degrees Celsius (summer temperature)
Now, let's convert the temperatures from Celsius to Kelvin. In Kelvin, the temperature is equal to the Celsius temperature plus 273.15.
T1 = 0 + 273.15 = 273.15 K
T2 = 30 + 273.15 = 303.15 K
Now we can substitute these values into the formula:
P1/T1 = P2/T2
35 psi / 273.15 K = P2 / 303.15 K
To find P2, we can rearrange the equation:
P2 = (35 psi / 273.15 K) * 303.15 K
Now, let's calculate the pressure on the summer day:
P2 = (35 psi / 273.15 K) * 303.15 K = 38.87 psi (rounded to two decimal places)
Therefore, the pressure in the car tire on a summer day when the temperature is 30 degrees Celsius is approximately 38.87 psi.
I hope this explanation was helpful!