type the correct answer in the box. express your answer to three significant figures.\nthe gas inside a…

type the correct answer in the box. express your answer to three significant figures.\nthe gas inside a large engine cylinder initially has a pressure of 105 kilopascals and a volume of 2.031 liters. if the gas is compressed at constant temperature to a volume of 0.356 liter, what is its new pressure?\nthe pressure of the compressed gas is kilopascals.

type the correct answer in the box. express your answer to three significant figures.\nthe gas inside a large engine cylinder initially has a pressure of 105 kilopascals and a volume of 2.031 liters. if the gas is compressed at constant temperature to a volume of 0.356 liter, what is its new pressure?\nthe pressure of the compressed gas is kilopascals.

Answer

Explanation:

Step1: Identify the relevant law

Boyle's law states $P_1V_1 = P_2V_2$ for a gas at constant temperature.

Step2: Rearrange the formula to solve for $P_2$

$P_2=\frac{P_1V_1}{V_2}$

Step3: Substitute the given values

$P_1 = 105$ kPa, $V_1=2.031$ L, $V_2 = 0.356$ L. So $P_2=\frac{105\times2.031}{0.356}$

Step4: Calculate the result

$P_2=\frac{213.255}{0.356}\approx600$ kPa (rounded to three - significant figures)

Answer:

600