an automobile tire at 30.0°c has a pressure of 3.00 atm. the temperature decreases to -5.00°c. assume that…

an automobile tire at 30.0°c has a pressure of 3.00 atm. the temperature decreases to -5.00°c. assume that there is no volume change in the tire. formula to use: $\frac{p_1}{t_1}=\frac{p_2}{t_2}$ how does the tire pressure change in response to the temperature change? decreases complete what is the new pressure of the tire after the temperature change? atm done

an automobile tire at 30.0°c has a pressure of 3.00 atm. the temperature decreases to -5.00°c. assume that there is no volume change in the tire. formula to use: $\frac{p_1}{t_1}=\frac{p_2}{t_2}$ how does the tire pressure change in response to the temperature change? decreases complete what is the new pressure of the tire after the temperature change? atm done

Answer

Answer:

2.70 atm

Explanation:

Step1: Convert temperatures to Kelvin

$T_1 = 30.0 + 273.15=303.15$ K, $T_2=- 5.00+273.15 = 268.15$ K

Step2: Rearrange the formula for $P_2$

Given $\frac{P_1}{T_1}=\frac{P_2}{T_2}$, then $P_2=\frac{P_1T_2}{T_1}$

Step3: Substitute values

$P_1 = 3.00$ atm, $T_1 = 303.15$ K, $T_2 = 268.15$ K. So $P_2=\frac{3.00\times268.15}{303.15}\approx2.70$ atm