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What is the amount of heat required to change 2kg of ice at -15°c to water at 70°c ( C=4200jkg-¹k-¹
1. Solve x2 + 2x − 15 = 0 by factoring. Find both the sum and the product of the zero.
2. Suppose the monic (leading coefficient is one) quadratic polynomial x2+ax+b has zeros r1 and
r2. Write the polynomial in factored form. Multiply the factored form out. What relationships
do you find between this product and the coefficients of the original polynomial.
3. Factor the polynomial x3 + 5x2− 2x- 2
4. Find the sum of the zeros and the product of the zeros. Now find the sum of all the double products of the zeros (i.e., r1r2 + r1r3 + r2r3). What is the relationship between these three values and the coefficients of the polynomial?
4. Suppose the monic cubic polynomial x3 + ax2 + bx + c has zeros r1, r2, and r3. Write the polynomial in factored form and multiply the factors. Write the relationships between the coefficients of each form of the polynomial.
5. Suppose the monic quartic polynomial x4 + ax3 + bx2 + cx + d has zeros r1, r2, r3, and r4.
14)An aqueous feed containing reactant A with concentration of 5 mol/lit is taken in a batch reactor. The reaction is first order with rate constant of 0.5 min¹. What is the concentration (in mol/lit) at end of 5 min? A) 4.1
B) 0.41
C) 0.082
D)3
13)An aqueous feed containing reactant A with concentration of 1 mol/lit is taken in a batch reactor. The reaction is first order
rate constant of 0.5min^{1}
What is the time (in min)
required for 90% conversion?
A) 2.3
B) 4.6
C)2.0
D)4.0
Write a method called sumFirstAndLastDigist() with one parameter of type int called number.
The methods needs to find the first and Last digist of the parameter number passed to the method, using a loop and return the sum of the first and Last digist
12)What is the best arrangement of reactors: PFR, small MFR and large MFR, for reaction orders n>1?_____________
Consider an elementary aqueous reversible reaction system, A↔︎B. The equilibrium constant at 62°C is 11.5. What is the equilibrium conversions at temperature 62°C ?______________
A. An airliner must reach a speed of 110 m/s to take off. If the available runway is 2.4 km
and the aircraft accelerates uniformly from rest at one end, what minimum acceleration
must be available if it is to take off?
B. A speeding motorist driving a car, passes a traffic police officer on a stationary
motorcycle. The police officer immediately gives chase: his uniform acceleration is
4ms-2
, and by the time he draws level with the speeding car, the police officer is
travelling at 30ms-1
.
i. How long did it take for the police officer to catch the car?
ii. If the speeding motorist continued to travel at a steady speed during the
chase, what was his speed?
C. A stone is thrown vertically upwards with a speed of 24.0 ms-1
. Using g = 9.8 ms-2
and
ignoring air resistance:
i. How much time is required to reach this height?
ii. Why are there two answers to (ii.)?
iii. Sketch the velocity-time graph for the stone, from it is released until it
returns to the thrower.
1.) Find the angular velocity of an object in non-circular motion with 2-m radius circular path. Its tangential speed is 10 m/s.
a. 5 radians per second
b. 50 radians per second
c. 20 radians per second
d. 10 radians per second
2.) In non-uniform circular motion, the direction of the centripetal acceleration is _____ inwards.
a. sometimes
b. oftentimes
c. always
d. never
3.) In uniform circular motion, angular velocity is
a. varying
b. constant, nonzero
c. increasing
4.) A satellite is placed in a circular orbit to observe the surface of Mars from an altitude of 144 km. The equatorial radius of Mars is 3397 km. If the speed of the satellite is 3480 m/s, what is the magnitude of the centripetal acceleration in m/s2of the satellite?
a. 3.42
b. 2.17
c. 2.99
d. 4.05
A train of mass 200kN has a frictional resistance of 5N per kN. The speed of the
train, at the top of an inclined of 1 in 80 is 45 km/h. Find the speed of the train after
running down the incline for 1km.
#340153 on Dec 2023