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Dominik [7]
2 years ago
13

The heating element of a water heater in an apartment building has a maximum power output of 37 kW. Four residents of the buildi

ng take showers at the same time, and each receives heated water at a volume flow rate of 11x10-5 m3/s. If the water going into the heater has a temperature of 14°C, what is the maximum possible temperature of the hot water that each showering resident receives
Physics
1 answer:
kkurt [141]2 years ago
3 0

Answer:

maximum possible temperature is 34.088°C

Explanation:

Given data

power output Q = 37 kW

volume flow rate = 11 x 10^-5 m3/s

temperature t = 14°C

to find out

maximum possible temperature T

solution

we can say

total water volume  = 4 residents  × volume flow

total water volume = 4 × 11 x 10^-5  = 44 × 10^-5 m³/s

so we say total water mass = 1000 × volume

total water mass = 1000 kg/m³ ×  44 × 10^-5  

total water mass = 0.44 kg

we know

dQ/dt = (dm/dt)× (S)× ( T - t)

so here we know specific heat of water S = 4.186 joule/gram °C

37 = 0.44 × 4.186 × (T-14)

T = 34.088°C

maximum possible temperature is 34.088°C

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Rasek [7]

Answer:

t = 8 s

Explanation:

In order to find the time taken by the dragster we will use equations of motion. Here, we will use second equation of motion:

s = Vi t + (1/2)at²

where,

s = distance covered = 320 m

Vi = Initial Velocity = 0 m/s (Since, dragster starts from rest)

t = time taken = ?

a = acceleration of dragster = 10 m/s²

Therefore,

320 m = (0 m/s)t + (1/2)(10 m/s²)t²

t² = (320 m)(2)/(10 m/s²)

t = √(64 s²)

<u>t = 8 s</u>

3 0
3 years ago
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A cork has weight mg and density 25% of water’s density. A string is tied around the cork and attached to the bottom of a water-
yuradex [85]

Answer:

Explanation:

Given

Density of Cork \rho _c=0.25\rho _{water}

Considering V be the volume of Cork

Buoyant Force will be acting Upward and Weight is acting Downward along with T

Since density of water is more than cork therefore Cork will try to escape out of water but due to tension it will not

we can write as

\rho _{water}Vg-\rho _Cvg-T=0

where T=tension

Thus Tension T is

T=Vg(\rho _{water}-\rho _c)

Taking \rho _c common

T=\rho _cVg(\frac{\rho _{water}}{\rho _c}-1)    

T=mg(\frac{\rho _{water}}{\rho _c}-1)

T=mg(4-1)

T=3mg

4 0
3 years ago
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. Wha
olga55 [171]

Answer:

6m/s²

Explanation:

Given parameters:

Initial velocity  = 35m/s

Final velocity  = 65m/s

Time taken  = 5s

Unknown:

Acceleration = ?

Solution:

Acceleration is the rate of change of velocity with time taken;

   Acceleration  = \frac{Final velocity  - Initial velocity }{time}  

So;

 Acceleration   = \frac{65  - 35}{5}    = 6m/s²

3 0
2 years ago
The heat flux for a given wall is in the x-direction and given as q^n = 11 W/m^2, the walls thermal conductivity is 1.7 W/mK and
MrMuchimi

Answer:

\frac{dT}{dx} = 6.47 ^oC/m

Also as we can see the equation that heat flux directly depends on the temperature gradient so more is the temperature gradient then more will be the heat flux.

For positive temperature gradient the heat will flow outwards while for negative temperature gradient the heat will flow inwards

Explanation:

As we know that heat flux is given by the formula

q^n = K\frac{dT}{dx}

here we know that

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q^n = 11 W/m^2

also we know that

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now we have

11 = 1.7 \frac{dT}{dx}

so temperature gradient is given as

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also in other unit it will be same

\frac{dT}{dx} = 6.47 ^oC/m

Also as we can see the equation that heat flux directly depends on the temperature gradient so more is the temperature gradient then more will be the heat flux.

For positive temperature gradient the heat will flow outwards while for negative temperature gradient the heat will flow inwards

5 0
2 years ago
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Phantasy [73]

Answer:

an electric or landline turns electricity into mechanical energy while a mobile phone turns electricity to chemical to heat  

Explanation:

3 0
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