Question

5 formula 1 punto if 9.9 liters of helium at 26.9°c is allowed to expand to 23.6 liters, what must the new temperature, in k, be to maintain constant pressure? round to 1 decimal place respuesta 6 formula 1 punto a gas is heated from 190 k to 246 k and the volume is increased from 0.9 liters to 4.4 liters by moving a large piston within a cylinder. if the original pressure was 1.6 atm, what would the final pressure be, in atm? express your answer with 1 decimal place respuesta

Explanation:

Step1: Convert initial temperature to Kelvin for question 5

$T_1 = 26.9 + 273.15=300.05$ K, $V_1 = 9.9$ L, $V_2 = 23.6$ L. According to Charles's law $\frac{V_1}{T_1}=\frac{V_2}{T_2}$ at constant pressure.

Step2: Solve for $T_2$ in question 5

$T_2=\frac{V_2T_1}{V_1}=\frac{23.6\times300.05}{9.9}\approx715.9$ K

Step3: Identify values for question 6

$T_1 = 190$ K, $T_2 = 246$ K, $V_1 = 0.9$ L, $V_2 = 4.4$ L, $P_1 = 1.6$ atm. According to the combined - gas law $\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$.

Step4: Solve for $P_2$ in question 6

$P_2=\frac{P_1V_1T_2}{V_2T_1}=\frac{1.6\times0.9\times246}{4.4\times190}\approx0.4$ atm

Answer:

Question 5: 715.9 K
Question 6: 0.4 atm