An electrically driven pump operating at steady state draws water from a pond at a pressure of 1 bar and a rate of 50 kg/s and delivers the water at a pressure of 4 bar. There is no significant heat transfer with the surroundings, and changes in kinetic and potential energy can be neglected. The isentropic pump efficiency is 75%. Evaluating electricity at 8.5 cents per $k W \cdot h,$ estimate the hourly cost of running the pump.

Write each compound inequality as an absolute value inequality. 28.6 ≤ F ≤ 29.2

A pump operating at steady state receives liquid water at $50^{\circ} \mathrm{C}, 1.5\ \mathrm{MPa}$. The pressure of the water at the pump exit is $15\ \mathrm{MPa}$. The magnitude of the work required by the pump is $18\ \mathrm{~kJ}$ per kg of water flowing. Stray heat transfer and changes in kinetic and potential energy are negligible. Determine the isentropic pump efficiency.

A pump operating at steady state receives saturated liquid water at $50^\circ C$ with a mass flow rate of 30 kg/s. The pressure of the water at the pump exit is 1.5 MPa. If the pump operates with negligible internal irreversibilities and negligible changes in kinetic and potential energy, determine power required in kW.

A pump operating at steady state receives liquid water at $50^{\circ} \mathrm{C}, 1.5\ \mathrm{MPa}$. The pressure of the water at the pump exit is $15\ \mathrm{MPa}$. The magnitude of the work required by the pump is $18 \mathrm{~kJ}$ per $\mathrm{kg}$ of water flowing. Stray heat transfer and changes in kinetic and potential energy are negligible. Determine the isentropic pump efficiency.

A pump operating at steady state receives liquid water at $20^{\circ} \mathrm{C}$, $100\ \mathrm{kPa}$ with a mass flow rate of $53 \mathrm{~kg} / \mathrm{min}$. The pressure of the water at the pump exit is $5\ \mathrm{MPa}$. The isentropic pump efficiency is $70 \%$. Stray heat transfer and changes in kinetic and potential energy are negligible. Determine the power required by the pump, in $\mathrm{kW}$.

A pump operating at steady state receives saturated liquid water at $50^{\circ} \mathrm{C}$ with a mass flow rate of $20 \mathrm{~kg} / \mathrm{s}$. The pressure of the water at the pump exit is $1\ \mathrm{MPa}$. If the pump operates with negligible internal irreversibilities and negligible changes in kinetic and potential energy, determine the power required in $\mathrm{kW}$.

Determine whether the statement is true or false. Explain your answer. Every differential equation of the form y'=f(y) is separable.

Air enters a turbine operating at steady state at 8 bar, 1400 Kand expands to 0.8 bar. The turbine is well insulated, and kinetic and potential energy effects can be neglected. Assuming ideal gas behavior for the air, what is the maximum theoretical work that could be developed by the turbine in kJ per kg of air flow?

Determine whether the statement is true or false. If $w$ is the closest vector in a subspace $W$ of $R^n$ to a vector $v$ in $R^n$, then $w$ is the orthogonal projection of $v$ on $W$.

Match the trigonometric expression with its simplified form. (a) $\csc x$ (b) $\tan x$ (c) $\sin^2 x$ (d) $\sin x \tan x$ (e) $\sec^2 x$ (f) $\sec^2 x + \tan^2 x$. $\sec ^{4} x-\tan ^{4} x$

Find ∂w/∂s and ∂w/∂t using the appropriate Chain Rule. Evaluate each partial derivative at the given values of s and t. Function: w = sin(2x+3y) x = s + t, y = s - t Values: s = 0, t = π/2

A converging lens made of glass (n=1.5) is placed under water (n=1.33). Describe how the focal length of the lens under water compares to the focal length in air.

Assume that θ is an acute angle in a right triangle satisfying the given conditions. Evaluate the remaining trigonometric functions.

$$cscθ=\dfrac{23}{9}$$