Dissolving NaOH (s) in water is exothermic. Two calorimetry experiments are set up. Exp 1: 2 g of NaOH are dissolved in 100 mL of water

Exp 2: 4 g of NaoH are dissolved in 200 mL of water.

Which of the following is true?

A. both temperature changes will be the same
B. the second temeprature change will be approximately twice the first
C. the second temperature change will be approximately four times the first
D. the second temperature change will be approximately one-half of the first
E. the second temperature change will be approximately one-fourth the first

Option-E

Explanation:

In the given question, the experiment was set up with 2 reactions in which reaction two has double the amount of reactants.

To calculate the heat released in experiments, the formula used will be

ΔH = mcΔT, where m= mass of

1. For reaction 1,

ΔH₁ = m₁c₁ΔT₁

2. For reaction 2,

ΔH₂ = m₂c₂ΔT₂

here, the concentration of each solute is the same but the amount is different. Reaction two has double the amount compared to the first reaction.

we compare ΔH₁ = 2 ΔH₂

m₁c₁ΔT₁=  m₂c₂ΔT₂

here since concentration is the same, therefore cancelled out

m₁ΔT₁ =  2 m₂ΔT₂

m₁/2 x m₂ xΔT₁ = ΔT₂

100 / 2 x 200 ΔT₁

= 100/400 ΔT₁

= 1/4  ΔT₁= ΔT₂.

This shows that the second temperature change is 1/4 of the first.

Thus, Option-E is the correct answer.

mechanics (greek   is that area of science concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment. the scientific discipline has its origins in ancient greece with the writings of aristotle and archimedes[1][2][3] (see history of classical mechanics and timeline of classical mechanics). during the early modern period, scientists such as galileo, kepler, and newton laid the foundation for what is now known as classical mechanics. it is a branch of classical physics that deals with particles that are either at rest or are moving with velocities significantly less than the speed of light. it can also be defined as a branch of science which deals with the motion of and forces on objects. the field is yet less widely understood in terms of quantum theory.

explanation: