Efficiency η of a Carnot engine is defined to be:
<span>η = 1 - Tc / Th = (Th - Tc) / Th </span>
<span>where </span>
<span>Tc is the absolute temperature of the cold reservoir, and </span>
<span>Th is the absolute temperature of the hot reservoir. </span>
<span>In this case, given is η=22% and Th - Tc = 75K </span>
<span>Notice that although temperature difference is given in °C it has same numerical value in Kelvins because magnitude of the degree Celsius is exactly equal to that of the Kelvin (the difference between two scales is only in their starting points). </span>
<span>Th = (Th - Tc) / η </span>
<span>Th = 75 / 0.22 = 341 K (rounded to closest number) </span>
<span>Tc = Th - 75 = 266 K </span>
<span>Lower temperature is Tc = 266 K </span>
<span>Higher temperature is Th = 341 K</span>
Alfred Wegener discovered Pangea and the theory that over time they moved apart using tectonic plates.
Answer:
L = 0.475 m = 475 mm = 18.7 inches
Explanation:
A cylindrical specimen of a nickel alloy having an elastic modulus of 207 GPa and an original diameter of 10.2 mm (0.40 in.) will experience only elastic deformation when a tensile load of 8900 N (2000 lb ) is applied. Compute the maximum length of the specimen before deformation if the maximum allowable elongation is 0.25 mm (0.010 in).
E = 207 GPa = 207*10⁹ Pa
D = 10.2 mm = 0.0102 m
P = 8900 N
ΔL = 0.25 mm = 2.5*10⁻⁴ m
L = ?
We can use the Equation of the Hooke's Law
ΔL = P*L / (A*E) ⇒ L = ΔL*A*E / P
⇒ L = (2.5*10⁻⁴ m)*(π*(0.0102 m)²*0.25)*(207*10⁹ Pa) / (8900 N)
⇒ L = 0.475 m = 475 mm = 18.7 inches
Answer:
9.93 m/s
Explanation:
The following data were obtained from the question:
Mass (m) = 1500 Kg
Initial velocity (u) = 5.25 m/s
Force (F) = 1250 N
Distance (s) = 42.8 m
Final velocity (v) =...?
Next, we shall determine the acceleration of car. This can be achieved as shown below:
Force (F) = mass (m) x acceleration (a)
1250 = 1500 x a
Divide both side by 1500
a = 1250/1500
a = 0.83 m/s²
Therefore, the acceleration of the car is 0.83 m/s²
Now, we can determine the final velocity of car as shown below:
Initial velocity (u) = 5.25 m/s
Distance (s) = 42.8 m
Acceleration (a) = 0.83 m/s²
Final velocity (v) =...?
v² = u² + 2as
v² = (5.25)² + 2 x 0.83 x 42.8
v² = 27.5625 + 71.048
v² = 98.6105
Take the square root of both side
v = √98.6105
v = 9.93 m/s
Therefore, the final velocity of the car is 9.93 m/s
By idea gas equation we can say
here P = pressure
V = volume
n = number of moles
R = Avagadro gas constant
T = temperature
So from above expression you can see that for constant number of moleswe can say
So finally the volume will be 43.9 L