Answer:
21.18 L
Explanation:
From the question given above, the following data were obtained:
Initial pressure (P₁) = 1 atm
Initial volume (V₁) = 18 L
Final pressure (P₂) = 0.85 atm
Final Volume (V₂) =?
With the application of the Boyle's law equation, we can obtain the final volume (i.e the new volume) of the gas as follow:
P₁V₁ = P₂V₂
1 × 18 = 0.85 × V₂
18 = 0.85 × V₂
Divide both side by 0.85
V₂ = 18 / 0.85
V₂ = 21.18 L
Therefore, the new volume of the gas will be 21.18 L
Answer:
4E
Explanation:
From the question given above, the following data were obtained:
Initial elongation (e₁) = 4 cm = 4/100 = 0.04 m
Initial energy (E₁) = E
Final elongation (e₂) = 0.04 + 0.04 = 0.08 m
Final energy (E₂) =?
The energy stored in a s spring is given by:
E = ½Ke²
Where
E => is the energy
K => is the spring constant
e => is the elongation
From:
E = ½Ke²
Energy is directly proportional to the elongation. Thus,
E₁/e₁² = E₂/e₂²
With the above formula, we can obtain the final energy as follow:
Initial elongation (e₁) = 0.04 m
Initial energy (E₁) = E
Final elongation (e₂) = 0.08 m
Final energy (E₂) =?
E₁/e₁² = E₂/e₂²
E / 0.04² = E₂ / 0.08²
E / 0.0016 = E₂ / 0.0064
Cross multiply
0.0016 × E₂ = 0.0064E
Divide both side by 0.0016
E₂ = 0.0064E / 0.0016
E₂ = 4E
Therefore, the final energy is 4 times the initial energy i.e 4E
(C) have the same heat capacity
Answer: The value of x is -6.
Explanation:
To calculate the value of 'x', we need to solve each function happening inthe equation.
The equation provided to us is 
To solve this, we will multiply 4x with 2 and then subtract the like terms and finally, we evaluate the value of 'x'.
Hence, the value of x will be -6.
It will take "Exact 75 years", 'cause light takes 1 year for 1 light years.
Hope this helps!
