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Naddika [18.5K]
3 years ago
5

A Carnot heat engine has an efficiency of 0.400. If it operates between a deep lake with a constant temperature of 298.0k and a

hot reservoir, what is the temperature of the hot reservoir?
Physics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

496.7 K

Explanation:

The efficiency of a Carnot engine is given by the equation:

\eta = 1 - \frac{T_H}{T_L}

where:

T_H is the temperature of the hot reservoir

T_C is the temperature of the cold reservoir

For the engine in the problem, we know that

\eta = 0.400 is the efficiency

T_C = 298.0 K is the temperature of the cold reservoir

Solving for T_H, we find:

\frac{T_C}{T_H}=1-\eta\\T_H = \frac{T_C}{1-\eta} =\frac{298.0}{1-0.400}=496.7 K

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A transformer has a 240 V primary and a 60 V secondary. With a 5 ohm load connected, what is the primary current?
musickatia [10]

Answer:primary current is 3A

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secondary voltage Vs=60V

resistance 5Ω

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I_{P} =I_{S} \frac{V_{S}}{V_{P}}\\I_{P} =\frac{V_{S}}{R}  \frac{V_{S}}{V_{P}}\\I_{P}=\frac{60\times 60}{5\times 240\\}\\I_{P}=3 A

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A tungsten wire is 1.5m long and has a diameter of A current of flows through the wire. The resistivity of the wire is 5.6 * 10
7nadin3 [17]

Complete Question:

A tungsten wire is 1.5 m long and has a diameter of 1.0 mm. A current of 60 mA flows through the wire. The resistivity of the wire is 5.6 * 10^-8 Ωm. What is the potential difference across the ends of the wire?

Answer:

Potential difference, V = 0.00642 Volts.

Explanation:

Given the following data;

Diameter = 1 mm to meters = 1/1000 = 0.001 m

Length = 1.5m

Current = 60mA = 60/1000 = 0.06 Amperes.

Resistivity = 5.6 * 10^-8 Ωm

To find the potential difference across the ends of the wire;

First of all, we would determine the cross-sectional area of the wire (circle);

Radius, r = \frac {diameter}{2}

Radius = \frac {0.001}{2}

Radius = 0.0005 m

Area of wire (circle) = πr²

Substituting into the above formula, we have;

Area  = 3.142 × (0.0005)²

Area = 3.142 × 2.5 × 10^-7

Area = 7.855 × 10^-7 m²

Next, we find the resistance of wire;

Mathematically, resistance is given by the formula;

Resistance = P \frac {L}{A}

Where;

P is the resistivity of the material.

L is the length of the material.

A is the cross-sectional area of the material.

Substituting into the formula, we have;

Resistance = 5.6 * 10^{-8} \frac {1.5}{7.855 * 10^{-7}}

Resistance = 5.6 * 10^{-8} * 1909611.712

Resistance = 0.107 Ohms.

Now, we can find the potential difference using the formula;

V = IR

Where;

V represents voltage or potential difference measured in volts.

I represents current measured in amperes.

R represents resistance measured in ohms.

Substituting into the formula, we have;

V = 0.06*0.107

Potential difference, V = 0.00642 Volts.

7 0
3 years ago
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