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Calculate ∆H for the reaction CH4 (g) + NH3 (g) → HCN (g) + 3 H2 (g), from the reactions.

N2 (g) + 3 H2 (g) → 2 NH3 (g) ∆H = -91.8 kJ

C (s, graphite) + 2 H2 (g) → CH4 (g) ∆H = -74.9 kJ/mole

H2 (g) + 2 C (s, graphite) + N2 (g) → 2 HCN (g) ∆H = +270.3 kJ


above what value of inside diameter will 10% of the piston rings fall?


A manufacturer of tires claim that their tire has a mean life of at least 50,000kms. A random sample of 28 of these tires is tested and the sample mean is 33,000kms. Assume that the population standard deviation is 3,000kms and the lives of the tires are approximately normally distributed.

A boulder is moved by applying force to two ropes that are tied to it. The forces 120 lb towards the


west and 150 lb towards south . What is the net force applied to the boulder?

A power station conveyor lifts 500 tons of coal per hour to a height of 80 feet. What average


horsepower is required?



If the coefficient of friction between tires and roadway is 0.50, what is the smallest radius at which


a car can turn on a horizontal road when its speed is 30 miles/hour?

1. ∫ (𝑥²+5)³ 2𝑥𝑑𝑥



2. ∫ 12𝑥² √4𝑥³ + 7𝑑𝑥



3. ∫ √2𝑥³+7 𝑥²𝑑𝑥



4. ∫ 5𝑥√1 + 4𝑥²



5. ∫(3𝑥² − 4𝑥 + 2)² (3𝑥 − 2)𝑑𝑥

Convert (1−i)/2 into trigonometric form


This is the code and it doesn't run completely, I don't know what's wrong because it also says that there is no error/s at all. Hope you help me with this.



ign = input("Pick an In Game Name!: ")


print(" Welcome to the guessing game ", ign ,"! ")



import random


def guess_number(s):


randomnum = random.randint (1, s )


guessnum = 0


while guessnum != randomnum:


guessnum = int(input(f"Guess the number, choose an integer from 1 -{s}:"))



if guessnum < randomnum:


print ("Guess again the value is low!!")



elif guessnum > randomnum:


print ("Guess again the value is high!!")



print (" Congratulations! You guessed ",randomnum," Right! ")



guess_number= 10

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