LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Heat and Thermodynamics by (51.0k points)
retagged by

By  what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by 10% at a constant temperature?

1 Answer

+1 vote
by (52.7k points)
selected by
Best answer

According to boyle's law

(P + ΔP) (V - ΔV) = PV

(P + ΔP) (V - 0.1 V) = PV

PV + VΔP - 0.1 PV - 0.1 VΔP = PV

0.9 V ΔP = 0.1 PV

\(\frac{ΔP}{P}\) = \(\frac{1}{9}\)

Percentage increase = \(\frac{ΔP}{P}\) x 100 = \(\frac{100}{9}\) = 11.1

Percentage increase = 11.1 %

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.