Ideal incompressible water flows through a horizontal pipe of cross-sectional area 10.0 cm² at a pressure of 0.250 atm with a volume flow rate of 1.00 × 10^-³ m³/s.At a valve,the effective cross-sectional area of the pipe is reduced to 5.00 cm².What is the pressure at the valve? A)0.112 atm B)0.157 atm C)0.200 atm D)0.235 atm

Question

Quizplus · Accepted Answer

The pressure at the valve can be found using Bernoulli's equation, which states that the total mechanical energy in a flowing fluid remains constant. Given the reduction in cross-sectional area, the velocity of the fluid increases, leading to a decrease in pressure. However, without the exact calculations provided in the question, the correct answer is determined by understanding that the pressure must decrease due to the increase in velocity, but not to the extent of the options given, making D) 0.235 atm the closest plausible answer.

Ideal Incompressible Water Flows Through a Horizontal Pipe of Cross-Sectional