An adiabatic process is a process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression

Given b=1.5, P=7 kPa, V=110 cm³, and dV/dt=40 cm³/min

PVᵇ = C

Taking logs of both sides gives:

ln P + b ln V = ln C

Taking partial derivatives gives:

$\frac{1}{P}\frac{∂P}{∂t} + \frac{b}{V}\frac{∂V}{∂t} = 0$

Substitutituting the values b, P, V and dV/dt into the derivative above:

1/7 x dP/dt + 1.5/110 x 40 = 0

1/7 x dP/dt + 6/11 = 0

1/7 x dP/dt = - 6/11

dP/dt = - 6/11 x 7

dP/dt = -42/11 kPa/min

Therefore, the value of dP/dt is -42/11 kPa/min

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4 0

10 months ago

Please help! (85 points)

allochka39001 [22]

Recall that all three angles in a triangle equals 180.
Knowing this, we just have to add up all the angles and figure out what the value 'x' is.

(x-22 + x-17 + 3x+19) = 180
Simplify:
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide both sides by 5:
x = 40

Now that we found the value for x, we need to solve for angle A.
Simply input the value of 'x' into angle A's equation:
40 - 22 = 18

Angle A = 18 degrees

Good luck! If you need me to explain anything, just ask :))
-T.B.

8 0

2 years ago

Read 2 more answers

Find the measures of the angles of a triangle whose angles have a measure of x, 1/2x, and 1/6x. Also, what kind of triangle is i

Alexandra [31]

the sum of the angles in a triangle = 180°, thus

x + $\frac{1}{2}$ x + $\frac{1}{6}$ x = 180