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A spherical-shaped capacitor has a charge equivalent to 4.45 nanocoulombs when connected to a battery that has a voltage of 220 V. Suppose the two shells of the spherical capacitor are 5.34 centimeters apart, what are the capacitance and the radius of the inner sphere?

Calculate the potential difference of a battery connected to a capacitor consisting of two parallel plates with an area of 1.75 cm2 and a separation distance of 4.33 mm. Suppose that the charge present on the two plates is equal to 2.67 picocoulombs.

A cylindrical container has one end opened and the other end closed. It has a circular base of radius r cm. Given that the total surface area of the container is 200π cm2.


(a) Show that the volume of the container is V = 100πr - πr^3/2 cm3

(b) Find the maximum value of V.


  1. 0.315 moles of butane (C4H10) was burned in a copper calorimeter containing 4500 g of water. The calorimeter weighs 2,500 g. The temperature was observed to increase by 3.15 °C. Calculate the molar heat of combustion of butane (HEAT OF COMBUSTION PER MOLE). The specific heat of copper and water are 0.386 J/g. °C and 4.18 J/g. °C respectively.

Question 9

print("Original array:")

Answer: 

print(x)

>>>array([ 11, 12, 13, 14, 15, 16, 17, 18, 19, 20])

print(“Remove even numbers from the array x: “)

Answer:

print(x)

>>>array([12, 14, 16, 18, 200])

print(“Replace all odd numbers in array x with -10:”)

Answer:

print(x)

>>> array([ 12, -10, 14, -10, 16, -10, 18, -10, 20])


Question 10

print("Original array:")

Answer: 

>>> print(X)

[10 12 14 16 18 20 22 24 26 28 30]

>>> print(Z)

[10 12 14 16 18 20 22 24 26 28 30]

Answer: 

>>> print(X)

[0 2 4 6 18 20 22 24 26 28 30]

Answer: 

>>> print(Z)

[10,12,14,16,-18,-20,-22,-24,26,28,30]


Question 7

X = np.array([

[10,20,30], 

 [40,50,60], 

 [70,80,90]])

Answer: 


print(X)

array([20, 50, 50])


The ages of participants in a drama workshop are normally distributed with mean 18.5 years and standard deviation 2.5 years. What is the probability that the age of a random participant is (a) more than 20 years, (b) between 16 and 18 years?


Question 8

Y = np.array([

 [3,6,9,12], 

 [15,18,21,24], 

 [27,30,33,36], 

 [39,42,45,48],

 [51,54,57,60]])

Answer: 


Question 8 Output

array([[ 3, 12],

    [27, 36],

    [51, 60]])

What is the molarity of a solution which contains 12.25g of hydrogen sulfate in 1000. ml of solution




What is the probability that a market inspector will discover, at most five, but greater than two violations of the public health code? (Round off your answer in the nearest hundredths if possible)



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