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lozanna [386]
4 years ago
10

What is the magnitude of the force of gravity between to 1000 kg cars which are separated by distance of 25. 0 km on an intersta

te highway? The force between the two cars will be what
Chemistry
1 answer:
kipiarov [429]4 years ago
3 0

Answer:

=1.068 ×10⁻¹³N

Explanation:

Force of gravity =Gm₁m₁/d² where G is the universal gravitation constant =G = 6.673 x 10-11 N m²/kg², m₁ and m₂ is the mass of object 1 and 2 respectively and d is the distance between them. First we change the distance into SI units i.e meters 25 km= 25000 m

F= (6.673 x 10⁻¹¹ N m²/kg²×1000 kg×1000 kg)/ (25000 m)²

=1.068 ×10⁻¹³N

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A horizontal cylinder equipped with a frictionless piston contains 785 cm3 of steam at 400 K and 125 kPa pressure. A total of 83
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Answer:

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b. 939.43 cm^{3}

c. 19.30 J

d. 64.5J

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Thus, n = PV/RT = (125000 × 0.000785)/(8.314 × 400) = 0.03 mol

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To calculate this, we use the constant pressure process;

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Where q is 83.8J according to the question

Thus;

83.8 = 0.03 × [34980 + 35.5T_{1} - (34980 + 35.5T_{o})]

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78.69 = (T_{1}  - 400)

T_{1} = 400 + 78.69

T_{1}  = 478.69 K

b. Final cylinder volume

To calculate this, we make use of the Charles' law(Temperature and pressure are directly proportional)

V_{1}/T_{1} = V_{o}/T_{o}

V_{1}  =  V_{o}T_{1}/T_{o}

V_{1}   = (785 × 478.69)/400

V_{1}   = 939.43 cm^{3}

c. Work done by the system

Mathematically, the work done by the system is calculated as follows;

w = P(V_{1}- V_{o}) = 125 KPa ( 939.43 - 785) = 19.30 J

d. Change in internal energy of the steam in J

ΔU = q - w = 83.8 - 19.3 = 64.5J

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