SOLUTION: For a given mass of gas in a piston, 𝑝𝑉1.5 = 400 where p is the pressure in N/m2, and V is the volume in m3. Suppose the pressure increases at a constant rate of 3
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-> SOLUTION: For a given mass of gas in a piston, 𝑝𝑉1.5 = 400 where p is the pressure in N/m2, and V is the volume in m3. Suppose the pressure increases at a constant rate of 3
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Question 1105904: For a given mass of gas in a piston, 𝑝𝑉1.5 = 400 where p is the pressure in N/m2, and V is the volume in m3. Suppose the pressure increases at a constant rate of 3N/m2 per minute. Find the rate at which the volume is changing at the instant when the pressure is 50N/m2. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! 𝑝𝑉1.5 = 400
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solve the equation for V
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V = 266.6667 * p^-1
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we are looking for the rate the volume is changing dV/dt
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we know p is increasing at the rate of dp/dt = 3N/m^2, p = 50N/m^2
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dV/dt = 266.6667 * p^-2 * dp/dt
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substitute dp/dt = 3, p = 50
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dV/dt = (266.6667 * 3) / 50^2 = 0.32m^3/minute
