26. A physical science student is performing a thermodynamics experiment in the school laboratory. She takes a 30.0 g ice cube at 0. °C and melts it to water in a beaker over a laboratory burner. She then heats the water to boiling at 100. °C. Finally she boils the water entirely to steam at 100. °C. How much thermal energy was gained by the water during this entire process?

The thermal energy gained by the water during the entire process is 90,372 J

Explanation:

Given;

mass of the ice cube, m = 30 g

latent heat of fusion of ice, L = 334 J/g

specific heat capacity of water, C = 4.184 J/g⁰C

latent heat of vaporization of water, h = 2260 J/g

The thermal energy gained by the water during the entire process is calculated as;

The heat of fusion of the ice at 0⁰C is calculated as;

The heat of capacity of the water from  0⁰C to 100 ⁰C

The heat of vaporization of the steam at 100⁰C is calculated as;

The thermal energy gained by the water during the entire procees;

Qt = 10,020 J  +  12,552 J   +  67,800 J

     = 90,372 J

Therefore, the thermal energy gained by the water during the entire process is 90,372 J

search it up!

explanation:

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.