a gas is heated from 298 k to 367 k while its volume changes from 2.5 l to 3.9 l. if the initial pressure of…

Answer:

B. 0.87 atm

Explanation:

Step1: Identify the combined - gas law formula

$$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$$

Step2: Rearrange the formula for $P_2$

$$P_2=\frac{P_1V_1T_2}{V_2T_1}$$

Step3: Substitute the given values

$P_1 = 1.1$ atm, $V_1=2.5$ L, $T_1 = 298$ K, $V_2 = 3.9$ L, $T_2=367$ K $$P_2=\frac{1.1\times2.5\times367}{3.9\times298}$$

Step4: Calculate the value of $P_2$

First, calculate the numerator: $1.1\times2.5\times367 = 1.1\times917.5=1009.25$ Then, calculate the denominator: $3.9\times298 = 1162.2$ $$P_2=\frac{1009.25}{1162.2}\approx0.87\text{ atm}$$