Physics, 25.12.2019 05:31 annie375

Acylinder is closed by a piston connected to a spring of constant 1.60 103 n/m. with the spring relaxed, the cylinder is filled with 5.00 l of gas at a pressure of 1.00 atm and a temperature of 20.0

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Answer from: LoneWolves

The height is 0.247 m.

Explanation:

Given that,

Spring constant = 1.60\times10^3\ N/m[/tex]

Pressure = 1.00 atm

Temperature = 20.0°C

Suppose if the piston has a cross section area of 0.0120 m² and negligible mass, how high will it rise when the temperature is raised to 250°C

The equation of the pressure is

$P'=P_{0}+\dfrac{kh}{A}$ ...(I)

The equation of the volume is

$V'=V_{0}+Ah$ ....(II)

We need to calculate the height

Using equation of ideal gas

$\dfrac{P_{0}V}{T}=\dfrac{P'V'}{T'}$

$P'V'=P_{0}V\dfrac{T'}{T}$

Put the value of P' and V' from equation (I) and (II)

$P_{0}+\dfrac{kh}{A}\times V_{0}+Ah=P_{0}V\dfrac{T'}{T}$

Put the value into the formula

$1.013\times10^{5}+\dfrac{1.60\times10^{3}\times h}{0.0120 }\times5.00\times10^{-3}+0.0120 \times h=1.013\times10^{5}\times5.00\times10^{-3}\times\dfrac{523}{293}$

$1.013\times10^{5}\times5.00\times10^{-3}+1.013\times10^{5}\times0.0120\times h+1600h^2=904.09$

1600h^2+1215.6h=904.09-506.5

1600h^2+1215.6h=397.59

$h=0.247\ m$

Hence, The height is 0.247 m.

Answer from: Quest

most voltage drop calculators want the distance between the source and destination. then internally, they double it so both the source and return wires are calculated. but you need to know which distance the calculator uses so you're not half of what you should be or double what you should be.

most circuit breakers will not take a #6 directly, so the electrician will have to splice on a smaller pigtail. you also have to upsize the grounding wire when you upsized the ungrounded (hot) wire (see note in 250.122). this will preclude using most cable assemblies, as a cable with #6 copper will most likely only have a #10 grounding conductor. you need a #6 grounding conductor if the circuit is 20a. a #8 cable is no better, as it will have a #10 grounding conductor too. but most 20a breakers will take a #8 directly.

in your related post, you didn't say what type of load this is. if it is a light or heater, voltage drop won't be a big issue. if this is a motor, the current needs are huge at startup and the voltage drop can pose a problem. if this is a motor, knowing if the motor is under much load during startup will answer the voltage drop effect (a saw is easier to start than a compressor).

Answer from: Quest

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

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Acylinder is closed by a piston connected to a spring of constant 1.60 103 n/m. with the spring rela...