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Roman55 [17]
3 years ago
15

Sarah is making bread. She measures 0.6 kg of hot water into a bowl. The water needs to be at a temperature of

Physics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer:

\Delta m = 0.171\,kg

Explanation:

The process of water adding is described by the First Law of Thermodynamics:

m_{w,o} \cdot h_{w,o} + \Delta m \cdot h_{w} = (m_{w,o} + \Delta m)\cdot h_{w,f}

The amount of additional mass is:

m_{w,o}\cdot h_{w,o} - m_{w,o}\cdot h_{w,f} = \Delta m\cdot (h_{w,f}-h_{w})

\Delta m = \frac{m_{w,o}\cdot(h_{w,o}-h_{w,f})}{h_{w,f}-h_{w}}

Given that water is incompressible, the equation can be further simplified:

\Delta m = m_{w,o}\cdot \frac{c_{p,w}\cdot (T_{w,o}-T_{w,f})}{c_{p,w}\cdot (T_{w,f}-T_{w})}

\Delta m = m_{w,o}\cdot \left(\frac{T_{w,o}-T_{w,f}}{T_{w,f}-T_{w}} \right)

\Delta m = (0.6\,kg)\cdot \left(\frac{40 ^{\circ}C - 42^{\circ}C}{42^{\circ}C-49^{\circ}C} \right)

\Delta m = 0.171\,kg

.

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The pressure on a balloon holding 356 mL of an ideal gas is increased from 267 torr to 1.00 atm. What is the new volume of the b
Natalija [7]

Answer:

124.52 mL

Explanation:

from Boyle's Law,

PV = P'V' ................... Equation 1

Where P = Initial pressure of the gas, V = Initial volume of the gas, P' = Final pressure of the gas, V' = Final volume of the gas.

make V' the subject of the equation.

V' = PV/P'............. Equation 2

Given: P = 267 torr = (267×0.00131) = 0.34977 atm, V = 356 mL, P' = 1 atm

Substitute into equation 2

V' = (0.34977×356)/1

V' = 124.52 mL.

Hence the new volume of the balloon = 124.52 mL

4 0
3 years ago
According to Newton’s law of universal gravitation, which statements are true?
andreyandreev [35.5K]

Before we solve this, we should know this fact:

According to Newton's Law of Gravitation, the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The force acts along the line joining the centres of the two objects. It can be shown by this:

F ∝ \frac{Mm}{ {d}^{2} }

Now, let us check all the options.

A. As we move to higher altitudes, the force of gravity on us decreases.

<em>This </em><em>statement </em><em>is </em><em>true.</em>

The force of gravity is inversely proportional to the square of distance from the centre of the earth. If, we go up the surface of the earth, the distance from the centre of the earth increases and hence the value of force of gravity decrease. So, force of gravity decreases with altitude.

B. As we move to higher altitudes, the force of gravity on us increases.

<em>This </em><em>statement</em><em> </em><em>is </em><em>false.</em>

We have already got the result in option A. that the force of gravity decreases with altitude. It never increases with altitude.

C. As we gain mass, the force of gravity on us decreases.

<em>This </em><em>statement</em><em> </em><em>is </em><em>false.</em>

The force of gravity is directly proportional to the product of the masses. So, if increase our mass, then the force of gravity will also increase and if we decrease our mass, then the force of gravity decreases.

D. As we gain mass, the force of gravity on us increases.

<em>This </em><em>statement</em><em> is</em><em> </em><em>true.</em>

As mentioned earlier in option C., the force of gravity is directly proportional to the product of the masses of the earth and another object. So, as we gain mass, the force of gravity on us increases.

E. As we move faster, the force of gravity on us increases.

<em>This </em><em>statement</em><em> is</em><em> </em><em>true</em><em>.</em>

Here, we have to consider a different formula. According to Newton's Second Law,

F = ma, where F is the force, m is the mass and a is the acceleration.

In other words,

F ∝ a, i.e., force is directly proportional to acceleration.

We know, acceleration is the rate of change of velocity of an body within a time period.

So, if speed is increased, then acceleration will also be greater, which results in the increase of force. So, as we move faster, the force of gravity on us increases.

<u>Answers:</u>

A: As we move to higher altitudes, the force of gravity on us decreases.

D: As we gain mass, the force of gravity on us increases.

E: As we move faster, the force of gravity on us increases.

Hope you could understand.

If you have any query, feel free to ask.

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